The Structure of Valuation
A Short Technical Reply to Gallopin
DOI:
https://doi.org/10.67945/jfa.v5i.107Keywords:
transfinite mathematics, value calculus, formal axiologyAbstract
This short paper is a response to some of the technical claims made by Gallopin in “The Baby or the Bathwater? The Role of Transfinite Mathematics in the Nascent Hartman Science.” In particular, it reiterates difficulties associated with using trans- finite mathematics as a foundational bridge between the Axiom of Formal Axiology and the Hartman Value Profile, it shows how Gallopin has yet to address these problems, and finally it suggests directions for new research which might overcome these difficulties.References
Breuer, Joseph (1958). Introduction to the Theory of Sets. Englewood, NJ: Prentice Hall.
Gallopin, Gary G. (2012). “The Baby of the Bathwater? The Role of Transfinite Mathematics in the Nascent Hartman Science.” Journal of Formal Axiology: Theory and Practice, 5, 1-22.
Gödel, Kurt (1931). Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme, I. and On formally undecidable propositions of Prin- cipia Mathematica and related systems I in Solomon Feferman, ed., 1986. Kurt Gödel Collected works, Vol. I. Oxford University Press, 144-195.
Hartman, R. S. (1967). The Structure of Value: Foundations of Scientific Axiology. Carbondale and Edwardsville: Southern Illinois University Press. Republished in 2012 by Wipf & Stock Publishers, Eugene, OR.
Lieber, Lillian Rosanoff (1953). Infinity. New York : Rinehart.
Richards, Ted (2010). “The Difficulties of a Hartmanesque Value Calculus.” Jour- nal of Formal Axiology: Theory and Practice, 3, 105-114.
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